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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"/>
<link href="coqdoc.css" rel="stylesheet" type="text/css"/>
<title>Postscript</title>
<script type="text/javascript" src="jquery-1.8.3.js"></script>
<script type="text/javascript" src="main.js"></script>
</head>
<body>
<div id="page">
<div id="header">
</div>
<div id="main">
<h1 class="libtitle">Postscript</h1>
<div class="code code-tight">
</div>
<div class="doc">
<div class="paragraph"> </div>
<a name="lab1043"></a><h1 class="section">Looking back...</h1>
<div class="paragraph"> </div>
<div class="paragraph"> </div>
<ul class="doclist">
<li> <i>Functional programming</i>
- "declarative" programming (recursion over persistent data
structures)
<ul class="doclist">
<li> higher-order functions
</li>
<li> polymorphism
</li>
</ul>
</li>
</ul>
<div class="paragraph"> </div>
<div class="paragraph"> </div>
<ul class="doclist">
<li> <i>Logic</i>, the mathematical basis for software engineering:
<pre>
logic calculus
-------------------- = ----------------------------
software engineering mechanical/civil engineering
</pre>
<div class="paragraph"> </div>
<ul class="doclist">
<li> inductively defined sets and relations
</li>
<li> inductive proofs
</li>
<li> proof objects
</li>
</ul>
</li>
</ul>
<div class="paragraph"> </div>
<div class="paragraph"> </div>
<ul class="doclist">
<li> <i>Coq</i>, an industrial-strength proof assistant
<ul class="doclist">
<li> functional core language
</li>
<li> core tactics
</li>
<li> automation
</li>
</ul>
</li>
</ul>
<div class="paragraph"> </div>
<div class="paragraph"> </div>
<ul class="doclist">
<li> <i>Foundations of programming languages</i>
<div class="paragraph"> </div>
<ul class="doclist">
<li> notations and definitional techniques for precisely specifying
<ul class="doclist">
<li> abstract syntax
</li>
<li> operational semantics
<ul class="doclist">
<li> big-step style
</li>
<li> small-step style
</li>
</ul>
</li>
<li> type systems
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> program equivalence
<div class="paragraph"> </div>
</li>
<li> Hoare logic
<div class="paragraph"> </div>
</li>
<li> fundamental metatheory of type systems
<div class="paragraph"> </div>
<ul class="doclist">
<li> progress and preservation
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> theory of subtyping
</li>
</ul>
</li>
</ul>
</div>
<div class="code code-tight">
<br/>
</div>
<div class="doc">
<a name="lab1044"></a><h1 class="section">Looking forward...</h1>
<div class="paragraph"> </div>
Some good places to go for more...
<div class="paragraph"> </div>
<ul class="doclist">
<li> Several optional chapters of <i>Software Foundations</i>
<div class="paragraph"> </div>
</li>
<li> Cutting-edge conferences on programming languages and formal
verification:
<ul class="doclist">
<li> POPL
</li>
<li> PLDI
</li>
<li> OOPSLA
</li>
<li> ICFP
</li>
<li> CAV
</li>
<li> (and many others)
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> More on functional programming
<ul class="doclist">
<li> Learn You a Haskell for Great Good, by Miran
Lipovaca (ebook)
</li>
<li> and many other texts on Haskell, OCaml, Scheme, Scala, ...
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> More on Hoare logic and program verification
<ul class="doclist">
<li> The Formal Semantics of Programming Languages: An
Introduction, by Glynn Winskel. MIT Press, 1993.
</li>
<li> Many practical verification tools, e.g. Microsoft's
Boogie system, Java Extended Static Checking, etc.
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> More on the foundations of programming languages:
<ul class="doclist">
<li> Types and Programming Languages, by Benjamin C. Pierce. MIT
Press, 2002.
</li>
<li> Practical Foundations for Programming Languages, by Robert
Harper. Forthcoming from MIT Press. Manuscript available
from his web page.
</li>
<li> Foundations for Programming Languages, by John C. Mitchell.
MIT Press, 1996.
<div class="paragraph"> </div>
</li>
</ul>
</li>
<li> More on Coq:
<ul class="doclist">
<li> Certified Programming with Dependent Types, by Adam
Chlipala. A draft textbook on practical proof
engineering with Coq, available from his web page.
</li>
<li> Interactive Theorem Proving and Program Development:
Coq'Art: The Calculus of Inductive Constructions, by Yves
Bertot and Pierre Casteran. Springer-Verlag, 2004.
</li>
<li> Iron Lambda (http://iron.ouroborus.net/) is a collection
of Coq formalisations for functional languages of
increasing complexity. It fills part of the gap between
the end of the Software Foundations course and what
appears in current research papers. The collection has
at least Progress and Preservation theorems for a number
of variants of STLC and the polymorphic
lambda-calculus (System F)
</li>
</ul>
</li>
</ul>
<div class="paragraph"> </div>
</div>
<div class="code code-tight">
<br/>
<span class="comment">(* $Date: 2013-04-21 20:27:02 -0400 (Sun, 21 Apr 2013) $ *)</span><br/>
<br/>
</div>
</div>
<div id="footer">
<hr/><a href="coqindex.html">Index</a><hr/>This page has been generated by <a href="http://www.lix.polytechnique.fr/coq/">coqdoc</a>
</div>
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